Regular magnetic orders in triangular and kagome lattices

Mondal, Kallol; Kadolkar, Charudatt

doi:10.1088/1361-648x/ac27d9

Cited by 4 publications

(3 citation statements)

References 15 publications

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“…3(a)] and FM phases [Fig. 3(c)] [40,45], we find three other magnetically ordered phases: AFMd [Fig. 3(b)], FM-stripe [Fig.…”

Section: Classical Phase Diagrammentioning

confidence: 94%

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Oliviero¹,

Augusto²,

Andrade³

et al. 2021

Preprint

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Time-reversal-symmetry-breaking three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We combine a classical approach, parton mean-field theory and variational Monte Carlo methods to study a spin-1/2 model with staggered three-spin interaction Jχ on the kagome lattice. In addition, we consider Heisenberg exchange couplings J1 on nearest-neighbor bonds and J d across the diagonals of the hexagons. In the regime of dominant Jχ, the phase diagram exhibits a gapless chiral spin liquid with a line Fermi surface. As we increase the exchange couplings, we find a variety of noncoplanar magnetic orders, including a phase that interpolates between cuboc-1 and cuboc-2 states. Our results show that the competition between induced staggered chirality and Heisenberg exchange interactions can give rise to unusual ground states of spin systems.

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“…3(a)] and FM phases [Fig. 3(c)] [40,45], we find three other magnetically ordered phases: AFMd [Fig. 3(b)], FM-stripe [Fig.…”

Section: Classical Phase Diagrammentioning

confidence: 94%

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Oliviero¹,

Augusto²,

Andrade³

et al. 2021

Preprint

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“…Additionally, the coplanar orders are favored over the chiral cuboc-1 state. Although the symmetry of the Hamiltonian has been reduced from SU (2) to U (1), we still only find magnetically ordered states with a classical analog among the regular magnetic orders of O(3) symmetric Hamiltonians [96,98].…”

Section: Discussionmentioning

confidence: 88%

Schwinger boson study of the J1−J2−J3 kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions

Rossi,

Motruk,

Rademaker

et al. 2023

Phys. Rev. B

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Schwinger boson mean-field theory is a powerful approach to study frustrated magnetic systems, which allows to distinguish long-range magnetic orders from quantum spin liquid phases, where quantum fluctuations remain strong up to zero temperature. In this paper, we use this framework to study the Heisenberg model on the kagome lattice with up to third-nearest-neighbor interaction and Dzyaloshinskii-Moriya (DM) antisymmetric exchange. This model has been argued to be relevant for the description of transition metal dichalcogenide bilayers in certain parameter regimes, where spin liquids could be realized. By means of the projective symmetry group classification of possible ansätze, we study the effect of the DM interaction at first-nearest neighbor and then compute the J 2 -J 3 phase diagram at different DM angles. We find a phase displaying chiral spin liquid characteristics up to spin S = 0.5, indicating an exceptional stability of the state.

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“…It is quite a significant result in the sense that despite any spin-splitting interaction like spin-orbit coupling, a noticeable degree of spin polarization is achieved just by choosing a specific spin configuration. Such a spin orientation in kagome lattice are dubbed as Q = 0 configuration (Q is known as magnetic wave vector), are already explored extensively [74][75][76][77][78] and appear in many realistic materials even at room temperature [18,[79][80][81][82][83]. In summary, we can say that these types of spin configurations induce the same spin-splitting effect by breaking the spin rotational symmetry, analogous to the spin-orbit coupling.…”

Section: Spin-resolved Transmission Coefficients Spin-dependent Curre...mentioning

confidence: 99%

Spin-dependent transport in a driven non-collinear antiferromagnetic fractal network

Mondal

Ganguly

Maiti

2022

J. Phys.: Condens. Matter

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Non-collinear magnetic texture breaks the spin-sublattice symmetry which gives rise to a spin-splitting effect. Inspired by this, we study the spin-dependent transport properties in a non-collinear antiferromagnetic fractal structure, namely, the Sierpinski Gasket (SPG) triangle. We find that though the spin-up and spin-down currents are different, the degree of spin polarization is too weak. Finally, we come up with a proposal, where the degree of spin polarization can be enhanced significantly in the presence of a time-periodic driving field. Such a prescription of getting spin-filtering effect from an unpolarized source in a fractal network is completely new to the best of our knowledge. Starting from a higher generation of SPG to smaller ones, the precise dependencies of driving field parameters, spin-dependent scattering strength, interface sensitivity on spin polarization are critically investigated. The spatial distribution of spin-resolved bond current density is also explored. Interestingly, our proposed setup exhibits finite spin polarization for different spin-quantization axes. Arbitrarily polarized light is considered and its effect is incorporated through Floquet-Bloch ansatz. All the spin-resolved transport quantities are computed using Green's function formalism following the Landauer-B\"{u}ttiker prescription. In light of the experimental feasibility of such fractal structures and manipulation of magnetic textures, the present work brings forth new insights into spintronic properties of non-collinear antiferromagnetic SPG. This should also entice the AFM spintronic community to explore other fractal structures with the possibility of unconventional features.

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Regular magnetic orders in triangular and kagome lattices

Cited by 4 publications

References 15 publications

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality

Schwinger boson study of the J1−J2−J3 kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions

Spin-dependent transport in a driven non-collinear antiferromagnetic fractal network

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